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Finding the Fourth Proportional to 7,878.11, 10,871.78 and 4,341.32

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Solution

The fourth proportional to 7,878.11, 10,871.78 and 4,341.32 is: 5,991.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.11 : 10,871.78 = 4,341.32 : x
  2. Step 2: Convert to fraction form
    7,878.11/10,871.78 = 4,341.32/x
  3. Step 3: Cross multiply
    7,878.11x = 10,871.78 × 4,341.32
  4. Step 4: Simplify right side
    7,878.11x = 47,197,895.01
  5. Step 5: Solve for x
    x = 47,197,895.01/7,878.11
  6. Step 6: Final answer
    x = 5,991.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.